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A capacitor consisting of two layers is shown in the figure below. It is comprised of 1mBaTiO and 100nm of TiO2 layers that are grown
A capacitor consisting of two layers is shown in the figure below. It is comprised of 1mBaTiO and 100nm of TiO2 layers that are grown on a 3mm substrate by pulsed laser deposition. The substrate is coated with a platinum to serve as a bottom metallization. A circular platinum metallization of 5mm diameter is applied to the top of the TiO2 layer to form a parallel plate capacitor (see figure below). The relative permittivity (r) of BaTiO3 (BTO) and TiO2 (TO) are 4500 and 90 , respectively. A time-invariant voltage of 0.1 Volts is applied to the said two-layer capacitor. The conductivity of BTO is 1021cm1 and that of TO is 10101cm1. The permittivity of free space (0) is 8.8541012F/m. (a) Compute the relaxation time for this two-layer capacitor (b) Plot the variation of the relaxation time with later thickness (d1 and d2) in the range 10300nm. (c) Obtain the equation for the voltage relaxation V and VT for the BTO and TO layers. (d) Compute the initial and voltages at t=0 and as t for VBT and VT. (e) Plot the variation of the voltage relaxation VB and VT across each layer
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